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1120001004 = 2232172831297
BaseRepresentation
bin100001011000001…
…1101101111101100
32220001110221112200
41002300131233230
54243210013004
6303045301500
736516565023
oct10260355754
92801427480
101120001004
11525236371
12273104890
1314b0646b5
14a8a678ba
15684d7239
hex42c1dbec

1120001004 has 108 divisors (see below), whose sum is σ = 3046026984. Its totient is φ = 346871808.

The previous prime is 1120000991. The next prime is 1120001033. The reversal of 1120001004 is 4001000211.

It is a happy number.

It is a super-2 number, since 2×11200010042 = 2508804497922016032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 862884 + ... + 864180.

Almost surely, 21120001004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523013492).

1120001004 is an abundant number, since it is smaller than the sum of its proper divisors (1926025980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1120001004 is a wasteful number, since it uses less digits than its factorization.

1120001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1120001004 is about 33466.4160614787. The cubic root of 1120001004 is about 1038.4991306835.

Adding to 1120001004 its reverse (4001000211), we get a palindrome (5121001215).

The spelling of 1120001004 in words is "one billion, one hundred twenty million, one thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 153 166 204 249 289 306 332 498 578 612 747 867 996 1156 1297 1411 1494 1734 2594 2601 2822 2988 3468 3891 4233 5188 5202 5644 7782 8466 10404 11673 12699 15564 16932 22049 23346 23987 25398 44098 46692 47974 50796 66147 71961 88196 95948 107651 132294 143922 198441 215302 215883 264588 287844 322953 374833 396882 430604 431766 645906 749666 793764 863532 968859 1124499 1291812 1499332 1830067 1937718 2248998 3373497 3660134 3875436 4497996 5490201 6746994 7320268 10980402 13493988 16470603 21960804 31111139 32941206 62222278 65882412 93333417 124444556 186666834 280000251 373333668 560000502 1120001004